Information on Result #642453
Linear OA(2588, 92, F25, 81) (dual of [92, 4, 82]-code), using juxtaposition based on
- linear OA(2522, 26, F25, 22) (dual of [26, 4, 23]-code or 26-arc in PG(21,25)), using
- extended Reed–Solomon code RSe(4,25) [i]
- algebraic-geometric code AG(F, Q+0P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- algebraic-geometric code AG(F,1P) with degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(2562, 66, F25, 58) (dual of [66, 4, 59]-code), using
- extended algebraic-geometric code AGe(F,7P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2588, 92, F25, 80) (dual of [92, 4, 81]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2575, 79, F25, 68) (dual of [79, 4, 69]-code) | [i] | Truncation | |
| 3 | Linear OOA(2588, 46, F25, 2, 81) (dual of [(46, 2), 4, 82]-NRT-code) | [i] | OOA Folding | |